# Solve for k ky^2+(k+1)y+k-1=0 ky2+(k+1)y+k-1=0
Simplify each term.
Apply the distributive property.
ky2+ky+1y+k-1=0
Multiply y by 1.
ky2+ky+y+k-1=0
ky2+ky+y+k-1=0
Move all terms not containing k to the right side of the equation.
Subtract y from both sides of the equation.
ky2+ky+k-1=-y
Add 1 to both sides of the equation.
ky2+ky+k=-y+1
ky2+ky+k=-y+1
Factor k out of ky2+ky+k.
Factor k out of ky2.
k(y2)+ky+k=-y+1
Factor k out of ky.
k(y2)+k(y)+k=-y+1
Raise k to the power of 1.
k(y2)+k(y)+k=-y+1
Factor k out of k1.
k(y2)+k(y)+k⋅1=-y+1
Factor k out of k(y2)+k(y).
k(y2+y)+k⋅1=-y+1
Factor k out of k(y2+y)+k⋅1.
k(y2+y+1)=-y+1
k(y2+y+1)=-y+1
Divide each term by y2+y+1 and simplify.
Divide each term in k(y2+y+1)=-y+1 by y2+y+1.
k(y2+y+1)y2+y+1=-yy2+y+1+1y2+y+1
Cancel the common factor of y2+y+1.
Cancel the common factor.
k(y2+y+1)y2+y+1=-yy2+y+1+1y2+y+1
Divide k by 1.
k=-yy2+y+1+1y2+y+1
k=-yy2+y+1+1y2+y+1
Simplify -yy2+y+1+1y2+y+1.
Move the negative in front of the fraction.
k=-yy2+y+1+1y2+y+1
Combine the numerators over the common denominator.
k=-y+1y2+y+1
Factor -1 out of -y.
k=-(y)+1y2+y+1
Rewrite 1 as -1(-1).
k=-(y)-1(-1)y2+y+1
Factor -1 out of -(y)-1(-1).
k=-(y-1)y2+y+1
Simplify the expression.
Rewrite -(y-1) as -1(y-1).
k=-1(y-1)y2+y+1
Move the negative in front of the fraction.
k=-y-1y2+y+1
k=-y-1y2+y+1
k=-y-1y2+y+1
k=-y-1y2+y+1
Solve for k ky^2+(k+1)y+k-1=0

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